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Finding the Fourth Proportional to 524,004.30, 784,840.05 and 454,020.30

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Solution

The fourth proportional to 524,004.30, 784,840.05 and 454,020.30 is: 680,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,004.30 : 784,840.05 = 454,020.30 : x
  2. Step 2: Convert to fraction form
    524,004.30/784,840.05 = 454,020.30/x
  3. Step 3: Cross multiply
    524,004.30x = 784,840.05 × 454,020.30
  4. Step 4: Simplify right side
    524,004.30x = 356,333,314,953.02
  5. Step 5: Solve for x
    x = 356,333,314,953.02/524,004.30
  6. Step 6: Final answer
    x = 680,019.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.